Which of the following could be the value of $A C - B C$ in the construction of a triangle $A B C$ in which base $A B = 5 c m, ∠ A = 30^{\circ}$ ?

5.5

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5

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2.5

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None of these

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Solution

The correct option is C $2.5$
The triangle inequality rule states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

In $△ A B C$ , if $A B = 5 c m$ then $A C - B C < 5 c m$

This is not, from the given options, if $A C - B C = 2.5 c m$

Option C

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Similar questions

A B C

A B = 5 c m, ∠ A = 30^{\circ}

A C - B C = 2.5 c m

A B = 5 c m, ∠ A = 30^{0} a n d A C - B C = 2.5 c m

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